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Finding the Fourth Proportional to 1,012.10, 1,396.94 and 717.45

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Solution

The fourth proportional to 1,012.10, 1,396.94 and 717.45 is: 990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.10 : 1,396.94 = 717.45 : x
  2. Step 2: Convert to fraction form
    1,012.10/1,396.94 = 717.45/x
  3. Step 3: Cross multiply
    1,012.10x = 1,396.94 × 717.45
  4. Step 4: Simplify right side
    1,012.10x = 1,002,231.02
  5. Step 5: Solve for x
    x = 1,002,231.02/1,012.10
  6. Step 6: Final answer
    x = 990.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.